What’s 375 As A Fraction – In mathematics, decimal values and fractional values can be expressed in many ways, but no matter how they are expressed, a decimal and a fraction always represent the same value. Learning to quickly and accurately express a decimal like .375 as a fraction is a practical and useful math skill that all students should have. In this short post, you will learn what .375 is as a fraction.
The first step is to determine the place value of the last digit (to the right of the decimal point). In this example, the last number is 5, which is in the thousandths place value slot (1/1,000).
What’s 375 As A Fraction
You can use a place value chart to help you figure out the place value of the last digit.
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Do you want to learn how to convert a decimal to a fraction yourself? Click here to access our free guide on How to Convert Decimals to Fractions in 3 Easy Steps
Next, multiply both the numerator and denominator by the last place value slot, which is thousands (multiply the numerator and denominator by 1,000).
Now, you have a fraction equal to .375. While .375 is not exactly equal to 375/1000 as a fraction, this result is not yet in simplest form.
To express the fraction 375/1000 in simplest form, you must determine the greatest common factor (often called the GCF) for both 375 and 1000. Note that a factor is any number that divides another number without a remainder.
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The last step is to divide the numerator and denominator of 375/1000 by 125 (GCF):
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Then, in 0.45, that’s 45 in the hundredth place, so we put 45 over 100 to make an equivalent fraction, 45/100. So, we’re going to use this rule to express .373 as a fraction.
375 is in the thousandths place, so we put 375 over 1000 to make an equivalent fraction, 375/1000.
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Therefore, 0.375 as a fraction of 375/1000. However, we will not stop here as we can continue till the minimum terms.
.375 = 375/1000. Now to express this in the simplest form, we are looking for a number that divides both the numerator and the denominator without leaving a remainder. In this case, the number 125 would be
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